1,279 Answered Questions for the topic differential equations

Differential Equations

12/17/14

Find the radius of convergence and the interval of convergence for: S (n=1 to infinity) (2^n(x-2)^n)/(n+2)!
Find the radius of convergence and the interval of convergence for: Σ (n=1 to infinity) (2^n(x-2)^n)/(n+2)! Nothing really beyond what the question asks. I think I am supposed to find the... more
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Differential Equations

12/11/14

Find the general solution of the differential equation dy/dx = (y^4)*((x+1)/((x-2)(x^2+5))) , and any other solutions if they exist.
I have been very stuck on this problem for a few days.   I manage to separate the variables however and integrate for y but I am left with a very difficult integral for x.
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Differential Equations Stability

11/24/14

Find the stability of this differential equation
Find the stability of this differential equation and explain if it's stable or unstable   dy/dt = (1-y)(y+3)
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Differential Equations

11/20/14

find a general solution in power series y"-x^2 (y )-3xy=0
I got stuck
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Differential Equations

11/19/14

how do you solve dy/dx=-(4x+3y+15/2x+y+7)
I have tried all methods but nothing works.. Thank you in advance
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Differential Equations

11/10/14

The differential equation y'(x)+2y(x)/x=6
How do I solve the differential equation y'(x)+2y(x)/x=6, when y(x0)=y0; x0=-2 and y0=-4.
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Differential Equations Calculus 3

10/30/14

f '' (t) +f (t) = tan(2t)
How can i get this?
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Differential Equations Laplace Transform

10/25/14

differential equation. laplace transform
given in series circuit L=1H, R=110ohm, C=0.001F, v=90V. Find the resultant current when the switch is originally open and it is closed for 1s. then it is open again when t=1. use laplace... more
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Differential Equations Calculus

08/10/14

find the particular solution of the differential equation f"(x)=6(x-1)
find the particular solution of the differential equation f"(x)=6(x-1) whose graph passes through the point (2,1) and is tangent to the line 3x-y-=0 at that point
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07/23/14

Solving Second order non homogeneous DE using variation of parameters?
The process I was taught in class was as follows: 1. Transform the second order non homogeneous DE into a system of first order DE. 2. Solve the homogeneous part. 3. Assume the solution to the... more
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Differential Equations Physics Linear Differential

07/06/14

Differential Equations circuit homework problem
Attached is the problem from my text book. I'm confused about what I'm actually solving and how to use what I know. I know that Current for the inductor is given by the equation di/dt = v/L and the... more
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Differential Equations

05/19/14

Can someone help me with a differential equation problem?
Suppose that an initial population of 10,000 bacteria grows exponentially at a rate of 2% per hour and that y=y(t) is the number of bacteria present t hours later. a) Find an initial-value problem... more
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04/24/14

Differentiation Rules for Exponential Functions
how do you find the second derivative of y=e-x^2
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Differential Equations Equations Functions Applications

04/12/14

Applications of Sinusoidal Functions and Their Derivatives
A differential equation is an equation involving a function and one or more of its derivatives. Determine whether the function y=πsinθ+2πcosθ is a solution to the differential equation d^2y/dθ^2 +... more
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Differential Equations

03/30/14

Find general solution of y'' + y = 3sin(2t) + tcos(2t)
Answer: c1cos(t) + c2sin(t) -1/3tcos(2t) -5/9sin(2t) Please show the work step by step.
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Differential Equations

03/30/14

Find general solution of 2y" + 3y' + y = t^2 + 3sin(t)
Answer: c1e^-t + c2e^-t/2 + t^2 +6t + 14 -3/10sin(t) - 9/10cos(t) Please show the work step by step.
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Differential Equations

03/30/14

Find general solution of y" + 2y' + y = 2e^-t
Answer: c1e^-t + c2t^-t + t^2e^-t
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Differential Equations Solving For(fg)(x)

02/08/14

consider the equation f(x)=-6-1 and g(x)=4x^2 select the solution for (fg)(x)
consider the equation f(x)=-6-1 and g(x)=4x^2 select the solution for (fg)(x)
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Differential Equations Calculus Newton's Law Of Cooling

11/24/13

Newton's Law of Cooling
after the coffee is heated to 200 degrees , it is set in a room at 50 degrees.It cools at a rate that is proportional to the difference between its current temperature and that of the surrounding... more
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Differential Equations

07/10/13

Solve the differential equation?
Solve the differential equation e^x dx+(e^x cot(y)+2y csc(y))dy=0. M=e^x N=e^x cot(y)+2y csc(y) My=0 Nx=e^x cot(y) Obviously isn't exact. What to do next?
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Differential Equations

07/06/13

Solve the differential equation?
Solve the differential equation y dx+(2xy-e^(-2y))dy=0.
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Differential Equations

07/05/13

Solve the differential equation?
Solve the differential equation dx+(x/y-sin(y))dy=0. I know that the integrating factor is y. y dx+x dy-ysin(y) dy=0 d(xy)-ysin(y) dy=0 How do I integrate this?
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Differential Equations

06/30/13

Find the value?
Consider the initial value problem: y'+(2/3)y=1-(1/2)t, y(0)=yο. Find the value of yο for which the solution touches, but does not cross, the t-axis.
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Differential Equations

06/29/13

Find the general solution?
Find the general solution of ty'-y=t^2*e^(-t), t>0.   I got y=(t^-1)(e^-t)(t^3/3+c) but when I simplify that I didn't get the right answer. Please help me with steps. 
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Differential Equations

06/20/13

Recommend me a good textbook for Differential Equations?
Name the title of the book, author, edition, ISBN number. Also, what bookstore sells used college textbooks for this? And what math should I take after Differential Equations for physics and... more
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